Task 2: PART 1 For the circuit shown below, assuming zero charge on the capacitor att = 0, the current flowing may be quantified as: r' = 9? R Integrate this equation with respect to t and hence find the charge stored in the capacitor 0.5 seconds after the switch is closed. 81 PART 2 The current (iz) through a 100 mH inductor (L) has a relationship with time (t) as follows: in = =1 cos(300t) dt Determine the inductor current when the time is 0.75 seconds. Task 3: PART 1 Determine the area under the following exponential growth curve between 1 seconds and 5 seconds: y = [ ( 1 - e - 2 ) at PART 2 Determine the area under the following exponential decay curve between 3 seconds and 7 seconds: y = [(e-21) at Task 4: PART 1 Locate the co-ordinates of the turning point for the following function and determine whether it is a maxima or minima: y = 7x2 - 3x PART 2 Find the maxima and minima values for the function: y= x3 - 3x + 2